Math 2.0

concept

Euclidean isometry

Summary

A Euclidean isometry is a map of a Euclidean space to itself that keeps the distance between each two points. Translations, rotations and reflections are examples. The Euclidean isometries of Rn\mathbb{R}^n form the Euclidean group.

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Sources

  1. Web https://en.wikipedia.org/wiki/Euclidean_plane_isometry, Formal definition
  2. Web https://en.wikipedia.org/wiki/Euclidean_group, lead section